Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1  4 of 80
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Question number: 1
» Quantum Mechanics » Angular Momentum and Spin
Appeared in Year: 2014
Write in Short
A hydrogen atom is in the state
Where in denote the principal, orbital and magnetic quantum numbers, respectively. If is the angular momentum operator, the average value of is________.
Question number: 2
» Quantum Mechanics » TimeIndependent Perturbation Theory
Appeared in Year: 2014
Question
A particle is confined to a one dimensional potential box with the potential
If the particle is subjected to a perturbation, within the box, , where is a small constant, the first order correction to the ground state energy is –
Choices
Choice (4)  Response  

a.  0 

b. 


c. 


d. 


Question number: 3
» Quantum Mechanics » One, Two and ThreeDimensional Potential Problems
Appeared in Year: 2015
Question
The average energy of a one dimensional quantum oscillator of frequency and in contact with a heat bath at temperature T is given by,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 4
» Quantum Mechanics » Particle in a Box
Appeared in Year: 2015
Question
A particle is confined in a box of length as shown below,
If the potential is treated as a perturbation, including the first order correction, the ground state energy is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

